Answer:26
Step-by-step explanation:
Y=1.25^x-2/5-10
Take log of both sides
So Y+10=1.25^x-2/5
So log to base 10 of the two sides of the equation is
Log(Y+10)=X-2/5log1.25.
To make X the subject, divide both sides by log1.25.
Log(Y+10)/log1.25=X-2/5.
Recall that Y was given to be 115
It becomes log(115 +10)/Log1.25=x-0.4
21.64=x-0.4
X=25.6
Ok so the ratio is ... 5/12 (every 5 months out of 12 in on year, the main dish is on the cover)
All you have to do is multiply the top # and bottom # in the fraction by 5.
5*5 = 25
5*12 = 60
In 5 years, there are 60 months. During that time, a main dish will be on the cover 25 times.
Answer:
Step-by-step explanation:
to find the arithmetic sequence with a4=-1 and a6=-13
first: find the difference: an=a+(n-1)d
a4=-1
that means a1+d(4-1)=-1 ( since a4 given and need to find a1)
a1+3d=-1 first equation
a1+d(6-1)=-13 ( a6 is given)
a1+5d=-13 second equation
a1+3d=-1
a1+5d=-13 ( find a and d by subtraction)
a1+3d-a1-5d=-1-(-13)
2d=12
d=-12/2=-6 ( substitute d in the equation: a1+3d=-1)
difference =-6
a1=17
a1,a2,a3,a4,a5,a6,....
the sequence is : 17,11,5,-1,-7,-13,.....
hope it works
Height of a trapezoid:
h = 5 · sin 80° = 5 · 0.985 = 4.924
x = 5 · cos 80° = 5 · 0.17365 = 0.868
7 - x = 7 - 0.868 = 6.132
By the Pythagorean theorem:
d² = 6.132² + 4.924²
d² = 37.6 + 24.25
d² = 61.85
d = √61.85
d = 7.86 ≈ 8
Answer: The length of a diagonal brace is 8 feet.
